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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Acoustical tomography based on the second-order Born transformperturbation approximation
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Acoustical tomography based on the second-order Born transformperturbation approximation

机译：基于二阶Born变换摄动近似的声学层析成像

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摘要

Reconstruction algorithms and their numerical examples ofnacoustical tomography based on the second-order Born transformnperturbation approximation are presented. The reconstruction algorithmsnin the second-order Born approximation are similar in form to those innthe first-order Born approximation. Replacing the angular spectrum ofnthe scattered wave in the first-order case by the result of applying anfirst-order operator to the angular spectrum of the scattered wave ornapplying a second-order operator to the angular spectrum of the incidentnwave leads to the second-order reconstruction algorithms. Also,ncomparisons of reconstruction algorithms of the first- and second-ordernBorn approximations are given, and they show that the second-order Bornnapproximation algorithms have a distinct advantage over the first-ordernapproximations in many cases
机译：给出了基于二阶Born变换摄动近似的航空层析成像重建算法及其数值实例。二阶Born近似中的重建算法在形式上与一阶Born近似中的重建算法相似。通过对散射波的角谱应用一阶算子或对入射波的角谱应用二阶算子来替换一阶情况下的散射波的角谱，导致二阶重构算法。另外，给出了一阶和二阶nBorn近似重建算法的比较，它们表明二阶Bornn近似算法在许多情况下比一阶n近似具有明显的优势。

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